2012032321200 has 360 divisors, whose sum is σ = 7899184378176. Its totient is φ = 487765152000.

The previous prime is 2012032321127. The next prime is 2012032321231. The reversal of 2012032321200 is 21232302102.

2012032321200 is a `hidden beast` number, since 2 + 0 + 120 + 323 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128295 + ... + 2010105.

Almost surely, 2^{2012032321200} is an apocalyptic number.

2012032321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012032321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949592189088).

2012032321200 is an abundant number, since it is smaller than the sum of its proper divisors (5887152056976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012032321200 is a wasteful number, since it uses less digits than its factorization.

2012032321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881855 (or 1881832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2012032321200 its reverse (21232302102), we get a palindrome (2033264623302).

The spelling of 2012032321200 in words is "two trillion, twelve billion, thirty-two million, three hundred twenty-one thousand, two hundred".